Algebraic Generalized Power Series and Automata
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2001-10-08 | |
| dc.date.accessioned | 2026-07-07T04:43:43Z | |
| dc.date.available | 2026-07-07T04:43:43Z | |
| dc.description | A theorem of Christol states that a power series over a finite field is algebraic over the polynomial ring if and only if its coefficients can be generated by a finite automaton. Using Christol's result, we prove that the same assertion holds for generalized power series (whose index sets may be arbitrary well-ordered sets of nonnegative rationals). | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110089 | |
| dc.identifier | http://arxiv.org/abs/math/0110089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62346 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13J05, 03D05 | |
| dc.title | Algebraic Generalized Power Series and Automata | |
| dc.type | text |